Question

Q2. A square and a parallelogram have the same area. If a side of
the square is 40m and the height of the parallelogram is 20m, find
the base of the parallelogram​

Answer 1

Answer:

Since we have that a square and a parallelogram have the same area and if a side of the square is 40 m and the height of the parallelogram is 20 m, we want to find the length of the corresponding base of the parallelogram.

Then, we know that the area of the square is equal to 40 × 40 = 1600.

Let b be the base of the parallelogram, then the area of the parallelogram is equal to 2(0.5 × 20 × 2b) = 1600 .

Then:

2(10 × 2b) = 1600

⇔ 20 × 4b = 1600

⇔ 4b = 1600/20

⇔ 4b = 80

⇔ b = 80/4

⇔ b = 20 m

Hence, the length is 20 m.

Step-by-step explanation:

Answer 2

Answer:

Side of square 40m

Area of square

a² = 40×40 = 1600 m²

The height of parallelogram 20m

square and parallelogram have the same area

so, Area of the parallelogram

1600 = 20× Base

$base = \frac{1600}{20} = 80m$

Base = 80m